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Optimization and Mathematical Programming Lab
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A lab that studies optimization problems involving continuous variables.
AboutAbout the lab
Uncovering the structure of phenomena through the properties of optimization problems
This optimization and mathematical programming lab (Professor Hayato Waki) studies optimization problems involving continuous variables.
The lab previously published papers on developing algorithms for optimization problems, but it is now interested in using the properties of optimization problems to investigate the structure of the phenomena and problems they model.
The lab works on semidefinite programming problems and studies, for example, the relationship between the convergence rate of the method of alternating projections and the properties of the problem.
Key terms
- optimization problem
- A problem of finding a solution, and its value, that maximizes or minimizes a function under given conditions or constraints
- semidefinite programming problem
- A type of optimization problem in which the variable is a matrix, and an objective is minimized or maximized subject to the condition that the matrix be positive semidefinite
- method of alternating projections
- A solution method that finds a point in the intersection of two sets by projecting alternately onto each set, getting closer with each step
ResearchResearch themes
The lab studies optimization and mathematical programming, centered on optimization problems involving continuous variables. It is interested in using the properties of optimization problems to investigate the structure and properties of the phenomena or problems they target.
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MembersFaculty
- ProfessorHayato Waki
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “S asdf rot” Trabandt / CC0 (cropped)
- Convergence rate of the method of alternating projections: “Zigzag trail path - panoramio” Glany Saldanha / CC BY 3.0 (cropped)
- Related lab (Optimization and Mathematical Programming Lab): “Optimization Problem 2” Musical Inquisit / CC BY-SA 4.0 (cropped)
- Related lab (Social Mathematics and Computer Algebra Lab): “Mathics screenshot” Wikideas1 / CC0 (cropped)
- Related lab (Lie Groups, Representation Theory, and Branching Rules Lab): “Ho-Mg-Zn E8-5Cube” Materialscientist (original image) Jgmoxness (derivative work) / CC BY-SA 3.0 (cropped)
- Related lab (Lie Groups, Representation Theory, and Branching Laws Lab (Masatoshi Kitagawa)): “Representation of SU(3)” Arkadipta Sarkar at English Wikipedia / CC BY-SA 3.0 (cropped)
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